Von Kármán swirling flow and heat transfer analysis on MHD fluid subject to partial slip and temperature jump conditions

Abstract

The current research examines the problem of swirling flow for the Reiner–Rivlin liquid where the surface of rotating disk admits the Navier's velocity slip condition within the environment of magnetic field. The temperature jump condition as a result of imperfect liquid–solid energy accommodation is also taken into account. The Kármán similarity transforms are implemented to transform the flow narrating differential equation into coupled ODEs which are solved via a suitable numerical method. On velocity and temperature profiles, the impacts of the heat production parameter, magnetic parameter, non-Newtonian parameter, and slip coefficients are explored. The effect of parameters on the velocities (axial and radial) and temperature distributions are sketched in the graphical form. Moreover, expressions of wall skin friction and heat transfer rate at the surface of the disk are calculated and are given in the tabular form. When the magnetic and slip parameters increase, the fluid velocities (radial and azimuthal) decrease. Skin friction and driving torque get lowered with the rise in the value of Reiner–Rivlin fluid parameter while these physical quantities increase for the higher magnetic parameter.